A formula for the number of tilings of an octagon by rhombi
classification
🧮 math.CO
cond-mat.stat-mech
keywords
formulaoctagonrhombitilingsalgebraiccasecentro-symmetricdeterminantal
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We propose the first algebraic determinantal formula to enumerate tilings of a centro-symmetric octagon of any size by rhombi. This result uses the Gessel-Viennot technique and generalizes to any octagon a formula given by Elnitsky in a special case.
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